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Finding the Fourth Proportional to 396,407.90, 594,294.73 and 206,773.13

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Solution

The fourth proportional to 396,407.90, 594,294.73 and 206,773.13 is: 309,994.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    396,407.90 : 594,294.73 = 206,773.13 : x
  2. Step 2: Convert to fraction form
    396,407.90/594,294.73 = 206,773.13/x
  3. Step 3: Cross multiply
    396,407.90x = 594,294.73 × 206,773.13
  4. Step 4: Simplify right side
    396,407.90x = 122,884,181,464.61
  5. Step 5: Solve for x
    x = 122,884,181,464.61/396,407.90
  6. Step 6: Final answer
    x = 309,994.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.